0.1(x-1.5)=-0.9(x+11)

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Solution for 0.1(x-1.5)=-0.9(x+11) equation: 


Simplifying
0.1(x + -1.5) = -0.9(x + 11)

Reorder the terms:
0.1(-1.5 + x) = -0.9(x + 11)
(-1.5 * 0.1 + x * 0.1) = -0.9(x + 11)
(-0.15 + 0.1x) = -0.9(x + 11)

Reorder the terms:
-0.15 + 0.1x = -0.9(11 + x)
-0.15 + 0.1x = (11 * -0.9 + x * -0.9)
-0.15 + 0.1x = (-9.9 + -0.9x)

Solving
-0.15 + 0.1x = -9.9 + -0.9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.9x' to each side of the equation.
-0.15 + 0.1x + 0.9x = -9.9 + -0.9x + 0.9x

Combine like terms: 0.1x + 0.9x = 1x
-0.15 + 1x = -9.9 + -0.9x + 0.9x

Combine like terms: -0.9x + 0.9x = 0.0
-0.15 + 1x = -9.9 + 0.0
-0.15 + 1x = -9.9

Add '0.15' to each side of the equation.
-0.15 + 0.15 + 1x = -9.9 + 0.15

Combine like terms: -0.15 + 0.15 = 0.00
0.00 + 1x = -9.9 + 0.15
1x = -9.9 + 0.15

Combine like terms: -9.9 + 0.15 = -9.75
1x = -9.75

Divide each side by '1'.
x = -9.75

Simplifying
x = -9.75

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